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Finding the Fourth Proportional to 1,644.12, 2,268.81 and 898.02

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Solution

The fourth proportional to 1,644.12, 2,268.81 and 898.02 is: 1,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.12 : 2,268.81 = 898.02 : x
  2. Step 2: Convert to fraction form
    1,644.12/2,268.81 = 898.02/x
  3. Step 3: Cross multiply
    1,644.12x = 2,268.81 × 898.02
  4. Step 4: Simplify right side
    1,644.12x = 2,037,436.76
  5. Step 5: Solve for x
    x = 2,037,436.76/1,644.12
  6. Step 6: Final answer
    x = 1,239.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.